General solution of the equation $\cot \theta - \tan \theta = 2$ is
$n\pi + \frac{\pi }{4}$
$\frac{{n\pi }}{2} + \frac{\pi }{8}$
$\frac{{n\pi }}{2} \pm \frac{\pi }{8}$
None of these
The number of values of $x$ in the interval $[0, 5 \pi ] $ satisfying the equation $3{\sin ^2}x - 7\sin x + 2 = 0$ is
If $\cos \theta = \frac{{ - 1}}{2}$ and ${0^o} < \theta < {360^o}$, then the values of $\theta $ are
If $5\cos 2\theta + 2{\cos ^2}\frac{\theta }{2} + 1 = 0, - \pi < \theta < \pi $, then $\theta = $
The expression $(1 + \tan x + {\tan ^2}x)$ $(1 - \cot x + {\cot ^2}x)$ has the positive values for $x$, given by
If $\sin \theta + \cos \theta = 1$ then the general value of $\theta $ is